Perturbation analysis of the orthogonal procrustes problem
Perturbation analysis of the orthogonal procrustes problem
复制标题
正交普鲁斯特问题的摄动分析
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
I. Söderkvist
中科院分区：
文献类型：
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作者：
I. Söderkvist
给定两个相同大小的任意实矩阵A和B，正交Procrustes问题是找到一个正交矩阵M，使得Frobenius范数“MA − B”最小化。本文处理正交矩阵 M 需要具有正行列式时的常见情况。研究了问题的稳定性并得出了扰动界限的上等结果。
Given two arbitrary real matricesA andB of the same size, the orthogonal Procrustes problem is to find an orthogonal matrixM such that the Frobenius norm ‖MA − B‖ is minimized. This paper treats the common case when the orthogonal matrixM is required to have a positive determinant. The stability of the problem is studied and supremum results for the perturbation bounds are derived.